Peter Ozsváth

7.2k total citations · 1 hit paper
40 papers, 2.5k citations indexed

About

Peter Ozsváth is a scholar working on Geometry and Topology, Mathematical Physics and Discrete Mathematics and Combinatorics. According to data from OpenAlex, Peter Ozsváth has authored 40 papers receiving a total of 2.5k indexed citations (citations by other indexed papers that have themselves been cited), including 39 papers in Geometry and Topology, 32 papers in Mathematical Physics and 17 papers in Discrete Mathematics and Combinatorics. Recurrent topics in Peter Ozsváth's work include Geometric and Algebraic Topology (38 papers), Homotopy and Cohomology in Algebraic Topology (28 papers) and Advanced Combinatorial Mathematics (17 papers). Peter Ozsváth is often cited by papers focused on Geometric and Algebraic Topology (38 papers), Homotopy and Cohomology in Algebraic Topology (28 papers) and Advanced Combinatorial Mathematics (17 papers). Peter Ozsváth collaborates with scholars based in United States and Hungary. Peter Ozsváth's co-authors include Zoltán Szabó, Zoltán Szabó, Zoltán Szabó, Tomasz Mrowka, Dylan P. Thurston, P. B. Kronheimer, Ciprian Manolescu, Sucharit Sarkar, Robert Lipshitz and Lenhard Ng and has published in prestigious journals such as Proceedings of the National Academy of Sciences, Annals of Mathematics and Advances in Mathematics.

In The Last Decade

Peter Ozsváth

39 papers receiving 2.3k citations

Hit Papers

Holomorphic disks and topological invariants for closed t... 2004 2026 2011 2018 2004 50 100 150 200 250
What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

  1. Holomorphic disks and topological invariants for closed three-manifolds
    2004 276 citations Peter Ozsváth, Zoltán Szabó Annals of Mathematics profile →

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
Peter Ozsváth United States 24 2.4k 2.0k 825 619 356 40 2.5k
David Gabai United States 20 1.8k 0.8× 1.4k 0.7× 517 0.6× 95 0.2× 341 1.0× 46 1.9k
Peter B. Shalen United States 20 1.9k 0.8× 1.5k 0.7× 508 0.6× 57 0.1× 351 1.0× 61 2.0k
András I. Stipsicz Hungary 17 1.2k 0.5× 916 0.5× 365 0.4× 76 0.1× 156 0.4× 67 1.3k
Marc Culler United States 16 1.6k 0.7× 1.2k 0.6× 465 0.6× 47 0.1× 280 0.8× 36 1.6k
Ko Honda United States 17 894 0.4× 610 0.3× 228 0.3× 101 0.2× 155 0.4× 41 921
Jerome Levine United States 20 1.3k 0.5× 1.0k 0.5× 211 0.3× 60 0.1× 201 0.6× 52 1.4k
Tim D. Cochran United States 17 890 0.4× 791 0.4× 204 0.2× 64 0.1× 171 0.5× 52 912
Friedhelm Waldhausen Germany 12 1.4k 0.6× 1.0k 0.5× 245 0.3× 33 0.1× 217 0.6× 18 1.5k
William Jaco United States 17 1.3k 0.5× 883 0.4× 369 0.4× 34 0.1× 289 0.8× 44 1.4k
Charles Livingston United States 17 696 0.3× 540 0.3× 193 0.2× 52 0.1× 177 0.5× 75 764

Countries citing papers authored by Peter Ozsváth

Since Specialization
Citations

This map shows the geographic impact of Peter Ozsváth's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Peter Ozsváth with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Peter Ozsváth more than expected).

Fields of papers citing papers by Peter Ozsváth

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Peter Ozsváth. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Peter Ozsváth. The network helps show where Peter Ozsváth may publish in the future.

Co-authorship network of co-authors of Peter Ozsváth

This figure shows the co-authorship network connecting the top 25 collaborators of Peter Ozsváth. A scholar is included among the top collaborators of Peter Ozsváth based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Peter Ozsváth. Peter Ozsváth is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Lipshitz, Robert, Peter Ozsváth, & Dylan P. Thurston. (2025). Diagonals and A-Infinity Tensor Products. Studia Scientiarum Mathematicarum Hungarica. 62(2-3). 97–304. 1 indexed citations
2.
Ozsváth, Peter, András I. Stipsicz, & Zoltán Szabó. (2012). Combinatorial Heegaard Floer homology and nice Heegaard diagrams. Advances in Mathematics. 231(1). 102–171. 3 indexed citations
3.
Ozsváth, Peter, András I. Stipsicz, & Zoltán Szabó. (2011). A Combinatorial Description of the U2=0 Version of Heegaard Floer Homology. International Mathematics Research Notices. 3 indexed citations
4.
Ozsváth, Peter, et al.. (2010). Computations of heegaard floer homology: torus bundles, l-spaces, and correction terms. 88–88. 2 indexed citations
5.
Mrowka, Tomasz, et al.. (2009). Low Dimensional Topology. 4 indexed citations
6.
Ozsváth, Peter & Zoltán Szabó. (2008). Holomorphic disks, link invariants and the multi-variable Alexander polynomial. Algebraic & Geometric Topology. 8(2). 615–692. 70 indexed citations
7.
Ozsváth, Peter, Zoltán Szabó, & Dylan P. Thurston. (2008). Legendrian knots, transverse knots and combinatorial Floer homology. Geometry & Topology. 12(2). 941–980. 39 indexed citations
8.
Kronheimer, P. B., Tomasz Mrowka, Peter Ozsváth, & Zoltán Szabó. (2007). Monopoles and lens space surgeries. Annals of Mathematics. 165(2). 457–546. 95 indexed citations
9.
Ozsváth, Peter & Zoltán Szabó. (2005). Holomorphic triangles and invariants for smooth four-manifolds. Advances in Mathematics. 202(2). 326–400. 106 indexed citations
10.
Ozsváth, Peter & Zoltán Szabó. (2005). Knots with unknotting number one and Heegaard Floer homology. Topology. 44(4). 705–745. 26 indexed citations
11.
Ozsváth, Peter & Zoltán Szabó. (2005). On knot Floer homology and lens space surgeries. Topology. 44(6). 1281–1300. 145 indexed citations
12.
Ozsváth, Peter. (2004). Holomorphic disks and genus bounds. 142 indexed citations
13.
Ozsváth, Peter & Zoltán Szabó. (2004). Knot Floer homology, genus bounds, and mutation. Topology and its Applications. 141(1-3). 59–85. 23 indexed citations
14.
Ozsváth, Peter & Zoltán Szabó. (2004). On the Heegaard Floer homology of branched double-covers. Advances in Mathematics. 194(1). 1–33. 131 indexed citations
15.
Ozsváth, Peter & Zoltán Szabó. (2004). On Heegaard Floer homology and Seifert fibered surgeries. Geometry and topology monographs. 181–203. 3 indexed citations
16.
Ozsváth, Peter & Zoltán Szabó. (2003). Holomorphic disks and knot invariants. Advances in Mathematics. 186(1). 58–116. 291 indexed citations
17.
Ozsváth, Peter & Zoltán Szabó. (2003). On the Floer homology of plumbed three-manifolds. Geometry & Topology. 7(1). 185–224. 95 indexed citations
18.
Ozsváth, Peter & Zoltán Szabó. (2003). Absolutely graded Floer homologies and intersection forms for four-manifolds with boundary. Advances in Mathematics. 173(2). 179–261. 208 indexed citations
19.
Ozsváth, Peter & Zoltán Szabó. (2001). Holomorphic disks and topological invariants for rational homology three-spheres. arXiv (Cornell University). 3 indexed citations
20.
Ozsváth, Peter & Zoltán Szabó. (2000). The Symplectic Thom Conjecture. Annals of Mathematics. 151(1). 93–93. 52 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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